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Author: colinjcotter

Finiteelementcourse.pdf

@@ -634,7 +634,7 @@ <h2><span class="section-number">6.7. </span>The MINI element<a class="headerlin
 <p>If there exists a linear operator <span class="math notranslate nohighlight">\(\Pi_h:V\to V_h\)</span> such that</p>
 <blockquote>
 <div><div class="math notranslate nohighlight" id="equation-l6-stokes-47">
-<span class="eqno">(6.50)<a class="headerlink" href="#equation-l6-stokes-47" title="Permalink to this equation">¶</a></span>\[ \begin{align}\begin{aligned}b(u-\Pi_hu,q) = 0, \quad \forall v\in V,\,q\in Q_h,\\\|\Pi_hu\|_V \leq C_{\Pi}\|u\|_V,\end{aligned}\end{align} \]</div>
+<span class="eqno">(6.50)<a class="headerlink" href="#equation-l6-stokes-47" title="Permalink to this equation">¶</a></span>\[ \begin{align}\begin{aligned}b(v-\Pi_hv,q) = 0, \quad \forall v\in V,\,q\in Q_h,\\\|\Pi_hv\|_V \leq C_{\Pi}\|v\|_V,\end{aligned}\end{align} \]</div>
 </div></blockquote>
 <p>then the discrete inf-sup condition holds.</p>
 </div></div><div class="proof proof-type-proof">

L6_stokes.html

@@ -740,9 +740,9 @@ the following result.
       .. math::
 	 :label:
 
-	 b(u-\Pi_hu,q) = 0, \quad \forall v\in V,\,q\in Q_h,
+	 b(v-\Pi_hv,q) = 0, \quad \forall v\in V,\,q\in Q_h,
 
-	 \|\Pi_hu\|_V \leq C_{\Pi}\|u\|_V,
+	 \|\Pi_hv\|_V \leq C_{\Pi}\|v\|_V,
 
    then the discrete inf-sup condition holds.